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| 一类二维系统的极限环的个数 | |
| 引用本文： | 卓相来 韩茂安. 一类二维系统的极限环的个数[J]. 应用数学, 1997, 10(1): 26-30 |
| 作者姓名： | 卓相来 韩茂安 |
| 作者单位： | 山东矿业学院数学系!泰安，271019 |
| 摘 要： | 本文利用Dulac函数方法讨论一类二维系统在环城上的包围多个奇点的极限环的唯一性及在n连城上极限环的唯n-1性，并给出了两个多项式的例子，讨论了极限环的唯一性和唯二性． |
| 关 键 词： | 极限环 唯一性 |
The Number of Limit Cycles for Certain Two-Dimensional Systems |
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| Zhuo Xianglai Han Maoan. The Number of Limit Cycles for Certain Two-Dimensional Systems[J]. Mathematica Applicata, 1997, 10(1): 26-30 | |
| Authors: | Zhuo Xianglai Han Maoan |
| Abstract: | In this Paper, by using the method of Dulac functions, it is proved that under certain conditions a two dimensional system has at most (n-1) limit cycles on an n-connected region. As an illustration, tWo exampleS are discussed for the cxistence of a unique limit cycle of at most two limit cycles. |
| Keywords: | : Limit cycle Uniqueness |
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